14445360984960 has 384 divisors, whose sum is σ = 50135970044160. Its totient is φ = 3832477286400.

The previous prime is 14445360984931. The next prime is 14445360984979. The reversal of 14445360984960 is 6948906354441.

It is a happy number.

14445360984960 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 53 + 6 + 0 + 98 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438550860 + ... + 3438555060.

It is an arithmetic number, because the mean of its divisors is an integer number (130562421990).

Almost surely, 2^{14445360984960} is an apocalyptic number.

14445360984960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14445360984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067985022080).

14445360984960 is an abundant number, since it is smaller than the sum of its proper divisors (35690609059200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14445360984960 is a wasteful number, since it uses less digits than its factorization.

14445360984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 14445360984960 in words is "fourteen trillion, four hundred forty-five billion, three hundred sixty million, nine hundred eighty-four thousand, nine hundred sixty".